mathematics. He holds a one-day math course from time to time and is convinced that his students are better at math after the course. To investigate this hypothesis, he had the following experiment performed: 6 students were randomly selected and their mathematical knowledge measured before the course began (math knowledge of the). students measured before the course). The students then took the course and after that the students' math knowledge was measured again after the course. It can be assumed that mathematical skills follow a normal distribution.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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john is a big fan of mathematics (math) and his main interest is teaching people
mathematics. He holds a one-day math course from time to time and is convinced that his
students are better at math after the course. To investigate this hypothesis, he had the
following experiment performed:6 students were randomly selected and their
mathematical knowledge measured before the course began (math knowledge of the).
students measured before the course). The students then took the course and after that the
students' math knowledge was measured again after the course. It can be assumed that
mathematical skills follow a normal distribution.
1.What type of hypothesis test should John use to test the hypothesis that the course is
successful?
a. Hypothesis variance of two populations.
b. Contingent tables for contingent tables.
c. Hypothesis tests for the means of two independent populations.
d. Hypothesis tests for paired measurements.
e. Population variance hypothesis test.
Question 2 also deals with John's course.
2. Which of the following is correct about the test statistic that john should use?
a. If the null hypothesis is true, the test size follows a chi-square distribution with 4
degrees of freedom.
b. If the null hypothesis is true, the test size follows a t-distribution with 6 degrees of
freedom.
c. If the null hypothesis is true, the test size follows the standard normal distribution.
d. If the null hypothesis is true, the test size follows a t-distribution with 5 degrees of
freedom.
e. If the null hypothesis is true, the test size follows a t-distribution with 11 degrees of
freedom.
Transcribed Image Text:john is a big fan of mathematics (math) and his main interest is teaching people mathematics. He holds a one-day math course from time to time and is convinced that his students are better at math after the course. To investigate this hypothesis, he had the following experiment performed:6 students were randomly selected and their mathematical knowledge measured before the course began (math knowledge of the). students measured before the course). The students then took the course and after that the students' math knowledge was measured again after the course. It can be assumed that mathematical skills follow a normal distribution. 1.What type of hypothesis test should John use to test the hypothesis that the course is successful? a. Hypothesis variance of two populations. b. Contingent tables for contingent tables. c. Hypothesis tests for the means of two independent populations. d. Hypothesis tests for paired measurements. e. Population variance hypothesis test. Question 2 also deals with John's course. 2. Which of the following is correct about the test statistic that john should use? a. If the null hypothesis is true, the test size follows a chi-square distribution with 4 degrees of freedom. b. If the null hypothesis is true, the test size follows a t-distribution with 6 degrees of freedom. c. If the null hypothesis is true, the test size follows the standard normal distribution. d. If the null hypothesis is true, the test size follows a t-distribution with 5 degrees of freedom. e. If the null hypothesis is true, the test size follows a t-distribution with 11 degrees of freedom.
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